146907223239841 has 9 divisors (see below), whose sum is σ = 147066817598649. Its totient is φ = 146747801921904.

The previous prime is 146907223239787. The next prime is 146907223239859. The reversal of 146907223239841 is 148932322709641.

The square root of 146907223239841 is 12120529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3910589305441 + 142996633934400 = 1977521^2 + 11958120^2 .

It is not a de Polignac number, because 146907223239841 - 2⁷ = 146907223239713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146907223239841.

It is not an unprimeable number, because it can be changed into a prime (146907223231841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12084161335 + ... + 12084173491.

It is an arithmetic number, because the mean of its divisors is an integer number (16340757510961).

Almost surely, 2^{146907223239841} is an apocalyptic number.

146907223239841 is the 12120529-th square number.

146907223239841 is the 6060265-th centered octagonal number.

It is an amenable number.

146907223239841 is a deficient number, since it is larger than the sum of its proper divisors (159594358808).

146907223239841 is an frugal number, since it uses more digits than its factorization.

146907223239841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26308 (or 13154 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 146907223239841 in words is "one hundred forty-six trillion, nine hundred seven billion, two hundred twenty-three million, two hundred thirty-nine thousand, eight hundred forty-one".